Table 11 Statistical results of CEAHA compared with other optimization algorithms in CEC2022(20D).

From: Enhanced artificial hummingbird algorithm with chaotic traversal flight

Fun

index

AHACLL

AHA

GOA

GTO

PDO

PSO

SCSSA

SHCO

SPBO

SSA

WOA

JADE

CF1

Mean

7.86E+02

6.16E+03+

1.16E+03\(\approx\)

4.40E+02-

7.39E+04+

1.13E+09+

5.07E+04+

1.81E+04+

1.36E+03+

3.92E+03+

3.02E+04+

6.66E+04+

 

Std

1.21E+02

2.43E+03

1.16E+03

3.23E+02

2.12E+04

3.42E+09

2.31E+04

6.42E+03

4.93E+02

2.32E+03

9.79E+03

1.44E+04

CF2

Mean

4.42E+02

4.67E+02+

4.57E+02+

4.55E+02+

2.11E+03+

8.50E+03+

4.71E+02+

5.94E+02+

5.41E+02+

4.58E+02+

5.73E+02+

4.89E+02+

 

Std

1.37E+01

1.51E+01

2.91E+01

2.02E+01

7.11E+02

2.15E+03

3.18E+01

1.05E+02

4.69E+01

1.61E+01

6.34E+01

1.68E+01

CF3

Mean

6.00E+02

6.01E+02+

6.28E+02+

6.29E+02+

6.78E+02+

7.16E+02+

6.34E+02+

6.43E+02+

6.51E+02+

6.37E+02+

6.68E+02+

6.09E+02+

 

Std

2.05E−03

2.42E+00

1.18E+01

1.12E+01

9.38E+00

1.34E+01

1.89E+01

1.30E+01

9.55E+00

1.29E+01

1.12E+01

2.57E+00

CF4

Mean

8.42E+02

8.73E+02+

8.66E+02+

8.76E+02+

9.54E+02+

1.09E+03+

8.87E+02+

9.14E+02+

9.23E+02+

8.80E+02+

9.27E+02+

9.03E+02+

 

Std

6.44E+00

1.81E+01

1.61E+01

1.77E+01

2.11E+01

2.36E+01

1.43E+01

2.66E+01

2.35E+01

2.23E+01

2.67E+01

3.45E+01

CF5

Mean

9.12E+02

1.89E+03+

1.78E+03+

1.85E+03+

3.26E+03+

9.79E+03+

2.28E+03+

3.68E+03+

2.80E+03+

2.07E+03+

3.55E+03+

2.73E+03+

 

Std

4.97E+00

4.75E+02

9.71E+02

4.01E+02

8.00E+02

1.71E+03

3.79E+02

1.28E+03

5.83E+02

6.46E+02

1.04E+03

1.22E+03

CF6

Mean

1.96E+03

3.59E+03+

1.86E+06+

5.12E+03+

1.11E+09+

7.61E+09+

4.66E+03+

1.04E+07+

7.32E+05+

8.21E+03+

1.71E+06+

1.96E+07+

 

Std

1.11E+02

1.99E+03

7.03E+06

5.09E+03

7.25E+08

2.47E+09

3.67E+03

3.03E+07

5.16E+05

6.41E+03

3.18E+06

1.11E+07

CF7

Mean

2.02E+03

2.07E+03+

2.16E+03+

2.10E+03+

2.23E+03+

2.45E+03+

2.15E+03+

2.18E+03+

2.12E+03+

2.12E+03+

2.19E+03+

2.09E+03+

 

Std

4.32E+00

3.80E+01

7.21E+01

3.87E+01

7.90E+01

1.25E+02

6.95E+01

7.56E+01

2.35E+01

6.49E+01

6.39E+01

2.93E+01

CF8

Mean

2.22E+03

2.22E+03+

2.31E+03+

2.25E+03+

2.94E+03+

1.44E+04+

2.23E+03+

2.30E+03+

2.26E+03+

2.28E+03+

2.28E+03+

2.23E+03+

 

Std

1.50E−01

4.97E+00

5.89E+01

4.35E+01

1.06E+03

1.91E+04

1.14E+01

7.72E+01

4.14E+01

6.33E+01

6.25E+01

5.43E+00

CF9

Mean

2.48E+03

2.49E+03+

2.50E+03+

2.48E+03-

3.01E+03+

3.92E+03+

2.48E+03-

2.56E+03+

2.54E+03+

2.54E+03+

2.57E+03+

2.49E+03+

 

Std

9.77E−02

3.80E+00

3.81E+01

3.41E−02

1.77E+02

5.22E+02

5.53E−02

6.60E+01

4.14E+01

5.58E+01

5.48E+01

5.42E+00

CF10

Mean

2.50E+03

2.53E+03+

4.60E+03+

3.46E+03+

5.59E+03+

7.64E+03+

4.01E+03+

3.93E+03+

2.51E+03+

4.05E+03+

5.01E+03+

3.22E+03+

 

Std

5.76E−02

6.70E+01

8.96E+02

1.16E+03

1.38E+03

1.05E+03

1.03E+03

8.34E+02

4.54E+01

1.31E+03

1.04E+03

7.34E+02

CF11

Mean

2.85E+03

2.93E+03+

2.99E+03+

2.90E+03\(\approx\)

7.96E+03+

1.36E+04+

2.98E+03+

4.45E+03+

4.12E+03+

2.95E+03\(\approx\)

3.67E+03+

3.46E+03+

 

Std

1.14E+02

1.11E+02

3.75E+02

1.30E+02

9.07E+02

1.60E+03

1.10E+02

7.47E+02

3.44E+02

1.83E+02

1.10E+03

2.11E+02

CF12

Mean

2.94E+03

2.98E+03+

2.98E+03+

2.99E+03+

3.18E+03+

4.26E+03+

3.00E+03+

3.11E+03+

3.13E+03+

2.98E+03+

3.08E+03+

2.98E+03+

 

Std

3.73E+00

1.62E+01

2.89E+01

4.94E+01

6.54E+01

3.42E+02

5.37E+01

7.92E+01

9.78E+01

2.24E+01

1.15E+02

3.36E+01

Chaos wins

+

12

11

9

12

12

11

12

12

11

12

12

Similar

\(\approx\)

0

1

1

0

0

0

0

0

1

0

0

Competitor wins

–

0

0

2

0

0

1

0

0

0

0

0

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